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28190148 = 223717191039
BaseRepresentation
bin110101110001…
…0010111000100
31222001012121120
41223202113010
524204041043
62444113540
7461420010
oct153422704
958035546
1028190148
1114a04748
1295358b0
135ac027c
143a5b540
15271c983
hex1ae25c4

28190148 has 96 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 7174656.

The previous prime is 28190147. The next prime is 28190161. The reversal of 28190148 is 84109182.

It is not an unprimeable number, because it can be changed into a prime (28190147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26613 + ... + 27651.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 228190148 is an apocalyptic number.

28190148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28190148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

28190148 is an abundant number, since it is smaller than the sum of its proper divisors (55675452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28190148 is a wasteful number, since it uses less digits than its factorization.

28190148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 28190148 is about 5309.4395184426. The cubic root of 28190148 is about 304.3447295503.

The spelling of 28190148 in words is "twenty-eight million, one hundred ninety thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1039 1292 1428 1596 1938 2078 2261 3117 3876 4156 4522 6234 6783 7273 9044 12468 13566 14546 17663 19741 21819 27132 29092 35326 39482 43638 52989 59223 70652 78964 87276 105978 118446 123641 138187 211956 236892 247282 276374 335597 370923 414561 494564 552748 671194 741846 829122 1006791 1342388 1483692 1658244 2013582 2349179 4027164 4698358 7047537 9396716 14095074 28190148